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Finding the Third Proportional to 1,766,428 and 3,826,308

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Solution

The third proportional to 1,766,428 and 3,826,308 is: 8,288,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,428 : 3,826,308 = 3,826,308 : x
  2. Step 2: Convert to fraction form
    1,766,428/3,826,308 = 3,826,308/x
  3. Step 3: Cross multiply
    1,766,428x = 3,826,308 × 3,826,308
  4. Step 4: Simplify right side
    1,766,428x = 14,640,632,910,864
  5. Step 5: Solve for x
    x = 14,640,632,910,864/1,766,428
  6. Step 6: Final answer
    x = 8,288,270.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.